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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT039_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:14:24 AM UTC 2026

% Result   : Theorem 45.57s 45.86s
% Output   : Proof 45.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT039_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n002.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon Jun  1 22:27:03 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_ARI
% 45.57/45.86  --- Run --finite-model-find --decision=internal at 45...
% 45.57/45.86  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 45.57/45.86  % SZS status Theorem
% 45.57/45.86  % SZS output start Proof
% 45.57/45.86  (
% 45.57/45.86  (declare-sort tptp.collection 0)
% 45.57/45.86  (declare-const tptp.count (-> tptp.collection Int))
% 45.57/45.86  (declare-const tptp.remove (-> Int tptp.collection tptp.collection))
% 45.57/45.86  (declare-const tptp.add (-> Int tptp.collection tptp.collection))
% 45.57/45.86  (declare-const tptp.in (-> Int tptp.collection Bool))
% 45.57/45.86  (declare-const tptp.empty tptp.collection)
% 45.57/45.86  (define @t1 () (@var "U" Int))
% 45.57/45.86  (define @t2 () (@var "W" tptp.collection))
% 45.57/45.86  (define @t3 () (@var "V" Int))
% 45.57/45.86  (define @t4 () (@var "Y" tptp.collection))
% 45.57/45.86  (define @t5 () (@var "X" Int))
% 45.57/45.86  (define @t6 () (@var "X1" tptp.collection))
% 45.57/45.86  (define @t7 () (@var "X2" Int))
% 45.57/45.86  (define @t8 () (@var "Z" Int))
% 45.57/45.86  (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6)))))
% 45.57/45.86  (define @t10 () (@var "X4" tptp.collection))
% 45.57/45.86  (define @t11 () (@var "X5" Int))
% 45.57/45.86  (define @t12 () (@var "X3" Int))
% 45.57/45.86  (define @t13 () (@var "X6" tptp.collection))
% 45.57/45.86  (define @t14 () (@var "X7" tptp.collection))
% 45.57/45.86  (define @t15 () (= (tptp.count @t14) 0))
% 45.57/45.86  (define @t16 () (= (= @t14 tptp.empty) @t15))
% 45.57/45.86  (define @t17 () (forall (@list @t14) @t16))
% 45.57/45.86  (define @t18 () (@var "X9" tptp.collection))
% 45.57/45.86  (define @t19 () (@var "X8" Int))
% 45.57/45.86  (define @t20 () (@var "X11" tptp.collection))
% 45.57/45.86  (define @t21 () (@var "X10" Int))
% 45.57/45.86  (define @t22 () (@var "X13" tptp.collection))
% 45.57/45.86  (define @t23 () (tptp.count @t22))
% 45.57/45.86  (define @t24 () (- @t23 1))
% 45.57/45.86  (define @t25 () (@var "X12" Int))
% 45.57/45.86  (define @t26 () (tptp.count (tptp.remove @t25 @t22)))
% 45.57/45.86  (define @t27 () (= @t26 @t24))
% 45.57/45.86  (define @t28 () (tptp.in @t25 @t22))
% 45.57/45.86  (define @t29 () (= @t28 @t27))
% 45.57/45.86  (define @t30 () (@list @t25 @t22))
% 45.57/45.86  (define @t31 () (forall @t30 @t29))
% 45.57/45.86  (define @t32 () (@var "X15" tptp.collection))
% 45.57/45.86  (define @t33 () (@var "X14" Int))
% 45.57/45.86  (define @t34 () (@var "X17" tptp.collection))
% 45.57/45.86  (define @t35 () (@var "X16" Int))
% 45.57/45.86  (define @t36 () (= @t34 (tptp.add @t35 (tptp.remove @t35 @t34))))
% 45.57/45.86  (define @t37 () (tptp.in @t35 @t34))
% 45.57/45.86  (define @t38 () (forall (@list @t35 @t34) (=> @t37 @t36)))
% 45.57/45.86  (define @t39 () (@var "U" tptp.collection))
% 45.57/45.86  (define @t40 () (not (tptp.in @t3 @t39)))
% 45.57/45.86  (define @t41 () (= (tptp.count @t39) 2))
% 45.57/45.86  (define @t42 () (tptp.in 3 @t39))
% 45.57/45.86  (define @t43 () (tptp.in 2 @t39))
% 45.57/45.86  (define @t44 () (and @t43 @t42 @t41 (> @t3 3)))
% 45.57/45.86  (define @t45 () (=> @t44 @t40))
% 45.57/45.86  (define @t46 () (@list @t39 @t3))
% 45.57/45.86  (define @t47 () (forall @t46 @t45))
% 45.57/45.86  (define @t48 () (not @t47))
% 45.57/45.86  (define @t49 () (>= @t3 4))
% 45.57/45.86  (define @t50 () (not @t49))
% 45.57/45.86  (define @t51 () (not @t41))
% 45.57/45.86  (define @t52 () (not @t42))
% 45.57/45.86  (define @t53 () (not @t43))
% 45.57/45.86  (define @t54 () (or @t53 @t52 @t51 @t50 @t40))
% 45.57/45.86  (define @t55 () (or @t53 @t52 @t51 @t50))
% 45.57/45.86  (define @t56 () (and @t43 @t42 @t41 @t49))
% 45.57/45.86  (define @t57 () (+ 3 1))
% 45.57/45.86  (define @t58 () (>= @t3 @t57))
% 45.57/45.86  (define @t59 () (forall @t46 @t54))
% 45.57/45.86  (define @t60 () (@quantifiers_skolemize @t59 1))
% 45.57/45.86  (define @t61 () (>= @t60 4))
% 45.57/45.86  (define @t62 () (@quantifiers_skolemize @t59 0))
% 45.57/45.86  (define @t63 () (tptp.in @t60 @t62))
% 45.57/45.86  (define @t64 () (not @t63))
% 45.57/45.86  (define @t65 () (not @t61))
% 45.57/45.86  (define @t66 () (tptp.count @t62))
% 45.57/45.86  (define @t67 () (= @t66 2))
% 45.57/45.86  (define @t68 () (not @t67))
% 45.57/45.86  (define @t69 () (tptp.in 3 @t62))
% 45.57/45.86  (define @t70 () (not @t69))
% 45.57/45.86  (define @t71 () (tptp.in 2 @t62))
% 45.57/45.86  (define @t72 () (not @t71))
% 45.57/45.86  (define @t73 () (or @t72 @t70 @t68 @t65 @t64))
% 45.57/45.86  (define @t74 () (@list true))
% 45.57/45.86  (define @t75 () (@list @t73))
% 45.57/45.86  (define @t76 () (= @t60 2))
% 45.57/45.86  (define @t77 () (tptp.remove @t60 @t62))
% 45.57/45.86  (define @t78 () (tptp.in 2 @t77))
% 45.57/45.86  (define @t79 () (or @t78 @t76))
% 45.57/45.86  (define @t80 () (tptp.add @t60 @t77))
% 45.57/45.86  (define @t81 () (tptp.in 2 @t80))
% 45.57/45.86  (define @t82 () (= 2 @t60))
% 45.57/45.86  (define @t83 () (or @t78 @t82))
% 45.57/45.86  (define @t84 () (= @t83 @t81))
% 45.57/45.86  (define @t85 () (= @t81 @t79))
% 45.57/45.86  (define @t86 () (@list false))
% 45.57/45.86  (define @t87 () (@list @t9))
% 45.57/45.86  (define @t88 () (@list @t60 @t62))
% 45.57/45.86  (define @t89 () (= @t62 @t80))
% 45.57/45.86  (define @t90 () (or @t64 @t89))
% 45.57/45.86  (define @t91 () (@list false false))
% 45.57/45.86  (define @t92 () (+ -1 @t23))
% 45.57/45.86  (define @t93 () (* -1 1))
% 45.57/45.86  (define @t94 () (+ @t23 @t93))
% 45.57/45.86  (define @t95 () (tptp.remove 2 @t77))
% 45.57/45.86  (define @t96 () (tptp.count @t95))
% 45.57/45.86  (define @t97 () (+ 1 @t96))
% 45.57/45.86  (define @t98 () (tptp.count @t77))
% 45.57/45.86  (define @t99 () (- @t98 @t97))
% 45.57/45.86  (define @t100 () (+ -1 @t98))
% 45.57/45.86  (define @t101 () (= @t98 @t97))
% 45.57/45.86  (define @t102 () (= @t96 @t100))
% 45.57/45.86  (define @t103 () (= @t78 @t102))
% 45.57/45.86  (define @t104 () (forall @t30 (= @t28 (= @t26 @t92))))
% 45.57/45.86  (define @t105 () (@list 2 @t77))
% 45.57/45.86  (define @t106 () (= @t78 @t101))
% 45.57/45.86  (define @t107 () (@list @t104))
% 45.57/45.86  (define @t108 () (not @t78))
% 45.57/45.86  (define @t109 () (@list 3 @t77))
% 45.57/45.86  (define @t110 () (= @t60 3))
% 45.57/45.86  (define @t111 () (tptp.in 3 @t77))
% 45.57/45.86  (define @t112 () (or @t111 @t110))
% 45.57/45.86  (define @t113 () (tptp.in 3 @t80))
% 45.57/45.86  (define @t114 () (= 3 @t60))
% 45.57/45.86  (define @t115 () (or @t111 @t114))
% 45.57/45.86  (define @t116 () (= @t115 @t113))
% 45.57/45.86  (define @t117 () (= @t113 @t112))
% 45.57/45.86  (define @t118 () (<= 0 -1))
% 45.57/45.86  (define @t119 () (* -1 4))
% 45.57/45.86  (define @t120 () (+ 3 @t119))
% 45.57/45.86  (define @t121 () (+ @t60 (* -1 @t60)))
% 45.57/45.86  (define @t122 () (= @t121 0))
% 45.57/45.86  (define @t123 () (< -1 0))
% 45.57/45.86  (define @t124 () (and @t110 @t61))
% 45.57/45.86  (define @t125 () (@list true false))
% 45.57/45.86  (define @t126 () (tptp.remove 3 @t77))
% 45.57/45.86  (define @t127 () (tptp.add 3 @t126))
% 45.57/45.86  (define @t128 () (= @t77 @t127))
% 45.57/45.86  (define @t129 () (not @t111))
% 45.57/45.86  (define @t130 () (or @t129 @t128))
% 45.57/45.86  (define @t131 () (tptp.in 2 @t127))
% 45.57/45.86  (define @t132 () (and @t78 @t128))
% 45.57/45.86  (define @t133 () (tptp.in 2 @t126))
% 45.57/45.86  (define @t134 () (= 2 3))
% 45.57/45.86  (define @t135 () (or @t133 @t134))
% 45.57/45.86  (define @t136 () (= @t135 @t131))
% 45.57/45.86  (define @t137 () (= @t133 @t131))
% 45.57/45.86  (define @t138 () (+ 1 @t98))
% 45.57/45.86  (define @t139 () (- @t66 @t138))
% 45.57/45.86  (define @t140 () (+ -1 @t66))
% 45.57/45.86  (define @t141 () (= @t66 @t138))
% 45.57/45.86  (define @t142 () (= @t98 @t140))
% 45.57/45.86  (define @t143 () (= @t63 @t142))
% 45.57/45.86  (define @t144 () (= @t63 @t141))
% 45.57/45.86  (define @t145 () (@list @t95))
% 45.57/45.86  (define @t146 () (= @t96 0))
% 45.57/45.86  (define @t147 () (>= @t96 0))
% 45.57/45.86  (define @t148 () (not @t147))
% 45.57/45.86  (define @t149 () (not @t101))
% 45.57/45.86  (define @t150 () (not @t141))
% 45.57/45.86  (define @t151 () (not @t146))
% 45.57/45.86  (define @t152 () (* -1 @t96))
% 45.57/45.86  (define @t153 () (+ @t98 @t152))
% 45.57/45.86  (define @t154 () (= @t153 1))
% 45.57/45.86  (define @t155 () (+ -1 -1 2 -1))
% 45.57/45.86  (define @t156 () (+ @t93 @t93 2 @t93))
% 45.57/45.86  (define @t157 () (* -1 @t66))
% 45.57/45.86  (define @t158 () (+ @t157 @t98))
% 45.57/45.86  (define @t159 () (* -1 @t98))
% 45.57/45.86  (define @t160 () (+ @t159 @t96))
% 45.57/45.86  (define @t161 () (+ @t66 @t159))
% 45.57/45.86  (define @t162 () (* -1 @t161))
% 45.57/45.86  (define @t163 () (= @t162 @t158))
% 45.57/45.86  (define @t164 () (* -1 @t153))
% 45.57/45.86  (define @t165 () (+ @t164 @t162 @t66 @t152))
% 45.57/45.86  (define @t166 () (= @t161 1))
% 45.57/45.86  (define @t167 () (= (* -1 (- @t161 1)) (* -1 @t139)))
% 45.57/45.86  (define @t168 () (= @t166 @t141))
% 45.57/45.86  (define @t169 () (and @t147 @t151 @t67 @t141 @t101))
% 45.57/45.86  (define @t170 () (= tptp.empty @t95))
% 45.57/45.86  (define @t171 () (= @t146 @t170))
% 45.57/45.86  (define @t172 () (tptp.remove 3 @t62))
% 45.57/45.86  (define @t173 () (tptp.remove @t60 @t172))
% 45.57/45.86  (define @t174 () (@list @t173))
% 45.57/45.86  (define @t175 () (tptp.count @t173))
% 45.57/45.86  (define @t176 () (+ 1 @t175))
% 45.57/45.86  (define @t177 () (tptp.count @t172))
% 45.57/45.86  (define @t178 () (- @t177 @t176))
% 45.57/45.86  (define @t179 () (+ -1 @t177))
% 45.57/45.86  (define @t180 () (= @t177 @t176))
% 45.57/45.86  (define @t181 () (= @t175 @t179))
% 45.57/45.86  (define @t182 () (tptp.in @t60 @t172))
% 45.57/45.86  (define @t183 () (= @t182 @t181))
% 45.57/45.86  (define @t184 () (= @t182 @t180))
% 45.57/45.86  (define @t185 () (@list 3 @t62))
% 45.57/45.86  (define @t186 () (tptp.add 3 @t172))
% 45.57/45.86  (define @t187 () (= @t62 @t186))
% 45.57/45.86  (define @t188 () (or @t70 @t187))
% 45.57/45.86  (define @t189 () (tptp.in @t60 @t186))
% 45.57/45.86  (define @t190 () (or @t182 @t110))
% 45.57/45.86  (define @t191 () (= @t190 @t189))
% 45.57/45.86  (define @t192 () (+ 1 @t177))
% 45.57/45.86  (define @t193 () (- @t66 @t192))
% 45.57/45.86  (define @t194 () (= @t66 @t192))
% 45.57/45.86  (define @t195 () (= @t177 @t140))
% 45.57/45.86  (define @t196 () (= @t69 @t195))
% 45.57/45.86  (define @t197 () (= @t69 @t194))
% 45.57/45.86  (define @t198 () (= @t175 0))
% 45.57/45.86  (define @t199 () (>= @t175 0))
% 45.57/45.86  (define @t200 () (not @t199))
% 45.57/45.86  (define @t201 () (not @t180))
% 45.57/45.86  (define @t202 () (not @t194))
% 45.57/45.86  (define @t203 () (not @t198))
% 45.57/45.86  (define @t204 () (* -1 @t175))
% 45.57/45.86  (define @t205 () (+ @t177 @t204))
% 45.57/45.86  (define @t206 () (= @t205 1))
% 45.57/45.86  (define @t207 () (+ @t157 @t177))
% 45.57/45.86  (define @t208 () (* -1 @t177))
% 45.57/45.86  (define @t209 () (+ @t208 @t175))
% 45.57/45.86  (define @t210 () (+ @t66 @t208))
% 45.57/45.86  (define @t211 () (* -1 @t210))
% 45.57/45.86  (define @t212 () (* -1 @t205))
% 45.57/45.86  (define @t213 () (+ @t212 @t211 @t66 @t204))
% 45.57/45.86  (define @t214 () (= @t210 1))
% 45.57/45.86  (define @t215 () (and @t199 @t203 @t67 @t194 @t180))
% 45.57/45.86  (define @t216 () (@list false false false false))
% 45.57/45.86  (define @t217 () (= tptp.empty @t173))
% 45.57/45.86  (define @t218 () (= @t198 @t217))
% 45.57/45.86  (define @t219 () (@list @t126))
% 45.57/45.86  (define @t220 () (tptp.count @t126))
% 45.57/45.86  (define @t221 () (+ 1 @t220))
% 45.57/45.86  (define @t222 () (- @t98 @t221))
% 45.57/45.86  (define @t223 () (= @t98 @t221))
% 45.57/45.86  (define @t224 () (= @t220 @t100))
% 45.57/45.86  (define @t225 () (= @t111 @t224))
% 45.57/45.86  (define @t226 () (= @t111 @t223))
% 45.57/45.86  (define @t227 () (= @t220 0))
% 45.57/45.86  (define @t228 () (>= @t220 0))
% 45.57/45.86  (define @t229 () (not @t228))
% 45.57/45.86  (define @t230 () (not @t223))
% 45.57/45.86  (define @t231 () (not @t227))
% 45.57/45.86  (define @t232 () (* -1 @t220))
% 45.57/45.86  (define @t233 () (+ @t98 @t232))
% 45.57/45.86  (define @t234 () (= @t233 1))
% 45.57/45.86  (define @t235 () (+ @t159 @t220))
% 45.57/45.86  (define @t236 () (* -1 @t233))
% 45.57/45.86  (define @t237 () (+ @t236 @t162 @t66 @t232))
% 45.57/45.86  (define @t238 () (and @t228 @t231 @t67 @t141 @t223))
% 45.57/45.86  (define @t239 () (= tptp.empty @t126))
% 45.57/45.86  (define @t240 () (= @t227 @t239))
% 45.57/45.86  (define @t241 () (not @t217))
% 45.57/45.86  (define @t242 () (not @t239))
% 45.57/45.86  (define @t243 () (not @t170))
% 45.57/45.86  (define @t244 () (not @t133))
% 45.57/45.86  (define @t245 () (tptp.in 2 @t95))
% 45.57/45.86  (define @t246 () (not @t245))
% 45.57/45.86  (define @t247 () (and @t133 @t239 @t217 @t170 @t246))
% 45.57/45.86  (define @t248 () (+ 2 @t119))
% 45.57/45.86  (define @t249 () (and @t76 @t61))
% 45.57/45.86  (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty))))
% 45.57/45.86  (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2))))
% 45.57/45.86  (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4)))))
% 45.57/45.86  (assume @p4 @t9)
% 45.57/45.86  (assume @p5 (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10)))))
% 45.57/45.86  (assume @p6 (forall (@list @t13) (>= (tptp.count @t13) 0)))
% 45.57/45.86  (assume @p7 @t17)
% 45.57/45.86  (assume @p8 (forall (@list @t19 @t18) (= (not (tptp.in @t19 @t18)) (= (tptp.count (tptp.add @t19 @t18)) (+ (tptp.count @t18) 1)))))
% 45.57/45.86  (assume @p9 (forall (@list @t21 @t20) (= (tptp.in @t21 @t20) (= (tptp.count (tptp.add @t21 @t20)) (tptp.count @t20)))))
% 45.57/45.86  (assume @p10 @t31)
% 45.57/45.86  (assume @p11 (forall (@list @t33 @t32) (= (not (tptp.in @t33 @t32)) (= (tptp.count (tptp.remove @t33 @t32)) (tptp.count @t32)))))
% 45.57/45.86  (assume @p12 @t38)
% 45.57/45.86  (assume @p13 @t48)
% 45.57/45.86  (assume @p14 true)
% 45.57/45.86  (step @p15 :rule aci_norm :args ((= (or @t55 @t40) @t54)))
% 45.57/45.86  (step @p16 :rule refl :args (@t40))
% 45.57/45.86  (step @p17 :rule aci_norm :args ((= (or @t53 (or @t52 (or @t51 @t50))) @t55)))
% 45.57/45.86  (step @p18 :rule bool-and-de-morgan :args (@t41 @t49 true))
% 45.57/45.86  (step @p19 :rule refl :args (@t52))
% 45.57/45.86  (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t52 (not (and @t41 @t49)))))
% 45.57/45.86  (step @p21 :rule bool-and-de-morgan :args (@t42 @t41 (and @t49)))
% 45.57/45.86  (step @p22 :rule trans :premises (@p21 @p20))
% 45.57/45.86  (step @p23 :rule refl :args (@t53))
% 45.57/45.86  (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t53 (not (and @t42 @t41 @t49)))))
% 45.57/45.86  (step @p25 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t49)))
% 45.57/45.86  (step @p26 :rule trans :premises (@p25 @p24))
% 45.57/45.86  (step @p27 :rule trans :premises (@p26 @p17))
% 45.57/45.86  (step @p28 :rule nary_cong :premises (@p27 @p16) :args ((or (not @t56) @t40)))
% 45.57/45.86  (step @p29 :rule trans :premises (@p28 @p15))
% 45.57/45.86  (step @p30 :rule bool-impl-elim :args (@t56 @t40))
% 45.57/45.86  (step @p31 :rule trans :premises (@p30 @p29))
% 45.57/45.86  (step @p32 :rule cong :premises (@p31) :args ((forall @t46 (=> @t56 @t40))))
% 45.57/45.86  (step @p33 :rule refl :args (@t40))
% 45.57/45.86  (step @p34 :rule bool-double-not-elim :args (@t49))
% 45.57/45.86  (step @p35 :rule evaluate :args (@t57))
% 45.57/45.86  (step @p36 :rule refl :args (@t3))
% 45.57/45.86  (step @p37 :rule cong :premises (@p36 @p35) :args (@t58))
% 45.57/45.86  (step @p38 :rule cong :premises (@p37) :args ((not @t58)))
% 45.57/45.86  (step @p39 :rule arith-leq-norm :args (@t3 3))
% 45.57/45.86  (step @p40 :rule trans :premises (@p39 @p38))
% 45.57/45.86  (step @p41 :rule cong :premises (@p40) :args ((not (<= @t3 3))))
% 45.57/45.86  (step @p42 :rule trans :premises (@p41 @p34))
% 45.57/45.86  (step @p43 :rule arith-elim-leq :args (@t3 3))
% 45.57/45.86  (step @p44 :rule symm :premises (@p43))
% 45.57/45.86  (step @p45 :rule cong :premises (@p44) :args ((not (>= 3 @t3))))
% 45.57/45.86  (step @p46 :rule arith-elim-gt :args (@t3 3))
% 45.57/45.86  (step @p47 :rule trans :premises (@p46 @p45))
% 45.57/45.86  (step @p48 :rule trans :premises (@p47 @p42))
% 45.57/45.86  (step @p49 :rule refl :args (@t41))
% 45.57/45.86  (step @p50 :rule refl :args (@t42))
% 45.57/45.86  (step @p51 :rule refl :args (@t43))
% 45.57/45.86  (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p48) :args (@t44))
% 45.57/45.86  (step @p53 :rule cong :premises (@p52 @p33) :args (@t45))
% 45.57/45.86  (step @p54 :rule cong :premises (@p53) :args (@t47))
% 45.57/45.86  (step @p55 :rule trans :premises (@p54 @p32))
% 45.57/45.86  (step @p56 :rule cong :premises (@p55) :args (@t48))
% 45.57/45.86  (step @p57 :rule eq_resolve :premises (@p13 @p56))
% 45.57/45.86  (step @p58 :rule skolemize :premises (@p57))
% 45.57/45.86  (step @p59 :rule bool-double-not-elim :args (@t61))
% 45.57/45.86  (step @p60 :rule refl :args (@t73))
% 45.57/45.86  (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t73 (not @t65))))
% 45.57/45.86  (step @p62 :rule cnf_or_neg :args (@t73 3))
% 45.57/45.86  (step @p63 :rule eq_resolve :premises (@p62 @p61))
% 45.57/45.86  (step @p64 :rule reordering :premises (@p63) :args ((or @t61 @t73)))
% 45.57/45.86  (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t61 @t74 @t75))
% 45.57/45.86  (step @p66 :rule eq-symm :args (@t79 @t81))
% 45.57/45.86  (step @p67 :rule refl :args (@t81))
% 45.57/45.86  (step @p68 :rule arith_poly_norm :args ((= (* -2 (- 2 @t60)) (* 2 (- @t60 2)))))
% 45.57/45.86  (step @p69 :rule arith_poly_norm_rel :premises (@p68) :args ((= @t82 @t76)))
% 45.57/45.86  (step @p70 :rule refl :args (@t78))
% 45.57/45.86  (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t83))
% 45.57/45.86  (step @p72 :rule cong :premises (@p71 @p67) :args (@t84))
% 45.57/45.86  (step @p73 :rule trans :premises (@p72 @p66))
% 45.57/45.86  (step @p74 :rule refl :args (@t9))
% 45.57/45.86  (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t9 @t84)))
% 45.57/45.86  (assume-push @p622 @t9)
% 45.57/45.86  (step @p77 :rule instantiate :premises (@p4) :args ((@list 2 @t77 @t60)))
% 45.57/45.86  (step-pop @p623 :rule scope :premises (@p77))
% 45.57/45.86  (step @p78 :rule process_scope :premises (@p623) :args (@t84))
% 45.57/45.86  (step @p80 :rule eq_resolve :premises (@p78 @p75))
% 45.57/45.86  (step @p81 :rule implies_elim :premises (@p80))
% 45.57/45.86  (step @p82 :rule chain_m_resolution :premises (@p81 @p4) :args (@t85 @t86 @t87))
% 45.57/45.86  (step @p83 :rule bool-double-not-elim :args (@t71))
% 45.57/45.86  (step @p84 :rule nary_cong :premises (@p60 @p83) :args ((or @t73 (not @t72))))
% 45.57/45.86  (step @p85 :rule cnf_or_neg :args (@t73 0))
% 45.57/45.86  (step @p86 :rule eq_resolve :premises (@p85 @p84))
% 45.57/45.86  (step @p87 :rule reordering :premises (@p86) :args ((or @t71 @t73)))
% 45.57/45.86  (step @p88 :rule chain_m_resolution :premises (@p87 @p58) :args (@t71 @t74 @t75))
% 45.57/45.86  (step @p89 :rule true_intro :premises (@p88))
% 45.57/45.86  (step @p90 :rule bool-impl-elim :args (@t37 @t36))
% 45.57/45.86  (step @p91 :rule cong :premises (@p90) :args (@t38))
% 45.57/45.86  (step @p92 :rule eq_resolve :premises (@p12 @p91))
% 45.57/45.86  (step @p93 :rule instantiate :premises (@p92) :args (@t88))
% 45.57/45.86  (step @p94 :rule bool-double-not-elim :args (@t63))
% 45.57/45.86  (step @p95 :rule nary_cong :premises (@p60 @p94) :args ((or @t73 (not @t64))))
% 45.57/45.86  (step @p96 :rule cnf_or_neg :args (@t73 4))
% 45.57/45.86  (step @p97 :rule eq_resolve :premises (@p96 @p95))
% 45.57/45.86  (step @p98 :rule reordering :premises (@p97) :args ((or @t63 @t73)))
% 45.57/45.86  (step @p99 :rule chain_m_resolution :premises (@p98 @p58) :args (@t63 @t74 @t75))
% 45.57/45.86  (step @p100 :rule cnf_or_pos :args (@t90))
% 45.57/45.86  (step @p101 :rule reordering :premises (@p100) :args ((or @t64 @t89 (not @t90))))
% 45.57/45.86  (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p93) :args (@t89 @t91 (@list @t63 @t90)))
% 45.57/45.86  (step @p103 :rule symm :premises (@p102))
% 45.57/45.86  (step @p104 :rule refl :args (2))
% 45.57/45.86  (step @p105 :rule cong :premises (@p104 @p103) :args (@t81))
% 45.57/45.86  (step @p106 :rule trans :premises (@p105 @p89))
% 45.57/45.86  (step @p107 :rule true_elim :premises (@p106))
% 45.57/45.86  (step @p108 :rule cnf_equiv_pos1 :args (@t85))
% 45.57/45.86  (step @p109 :rule reordering :premises (@p108) :args ((or @t79 (not @t81) (not @t85))))
% 45.57/45.86  (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p82) :args (@t79 @t91 (@list @t81 @t85)))
% 45.57/45.86  (step @p111 :rule arith_poly_norm :args ((= (+ @t23 -1) @t92)))
% 45.57/45.86  (step @p112 :rule evaluate :args (@t93))
% 45.57/45.86  (step @p113 :rule refl :args (@t23))
% 45.57/45.86  (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t94))
% 45.57/45.86  (step @p115 :rule trans :premises (@p114 @p111))
% 45.57/45.86  (step @p116 :rule arith_poly_norm :args ((= @t24 @t94)))
% 45.57/45.86  (step @p117 :rule trans :premises (@p116 @p115))
% 45.57/45.86  (step @p118 :rule refl :args (@t26))
% 45.57/45.86  (step @p119 :rule cong :premises (@p118 @p117) :args (@t27))
% 45.57/45.86  (step @p120 :rule refl :args (@t28))
% 45.57/45.86  (step @p121 :rule cong :premises (@p120 @p119) :args (@t29))
% 45.57/45.86  (step @p122 :rule cong :premises (@p121) :args (@t31))
% 45.57/45.86  (step @p123 :rule eq_resolve :premises (@p10 @p122))
% 45.57/45.86  (step @p124 :rule arith_poly_norm :args ((= (* -1 (- @t96 @t100)) (* 1 @t99))))
% 45.57/45.86  (step @p125 :rule arith_poly_norm_rel :premises (@p124) :args ((= @t102 @t101)))
% 45.57/45.86  (step @p126 :rule cong :premises (@p70 @p125) :args (@t103))
% 45.57/45.86  (step @p127 :rule refl :args (@t104))
% 45.57/45.86  (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t104 @t103)))
% 45.57/45.86  (assume-push @p624 @t104)
% 45.57/45.86  (step @p130 :rule instantiate :premises (@p123) :args (@t105))
% 45.57/45.86  (step-pop @p625 :rule scope :premises (@p130))
% 45.57/45.86  (step @p131 :rule process_scope :premises (@p625) :args (@t103))
% 45.57/45.86  (step @p133 :rule eq_resolve :premises (@p131 @p128))
% 45.57/45.86  (step @p134 :rule implies_elim :premises (@p133))
% 45.57/45.86  (step @p135 :rule chain_m_resolution :premises (@p134 @p123) :args (@t106 @t86 @t107))
% 45.57/45.86  (step @p136 :rule cnf_equiv_pos1 :args (@t106))
% 45.57/45.86  (step @p137 :rule reordering :premises (@p136) :args ((or @t108 @t101 (not @t106))))
% 45.57/45.86  (step @p138 :rule instantiate :premises (@p92) :args (@t109))
% 45.57/45.86  (step @p139 :rule eq-symm :args (@t112 @t113))
% 45.57/45.86  (step @p140 :rule refl :args (@t113))
% 45.57/45.86  (step @p141 :rule arith_poly_norm :args ((= (* -3 (- 3 @t60)) (* 3 (- @t60 3)))))
% 45.57/45.86  (step @p142 :rule arith_poly_norm_rel :premises (@p141) :args ((= @t114 @t110)))
% 45.57/45.86  (step @p143 :rule refl :args (@t111))
% 45.57/45.86  (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t115))
% 45.57/45.86  (step @p145 :rule cong :premises (@p144 @p140) :args (@t116))
% 45.57/45.86  (step @p146 :rule trans :premises (@p145 @p139))
% 45.57/45.86  (step @p147 :rule cong :premises (@p74 @p146) :args ((=> @t9 @t116)))
% 45.57/45.86  (assume-push @p626 @t9)
% 45.57/45.86  (step @p149 :rule instantiate :premises (@p4) :args ((@list 3 @t77 @t60)))
% 45.57/45.86  (step-pop @p627 :rule scope :premises (@p149))
% 45.57/45.86  (step @p150 :rule process_scope :premises (@p627) :args (@t116))
% 45.57/45.86  (step @p152 :rule eq_resolve :premises (@p150 @p147))
% 45.57/45.86  (step @p153 :rule implies_elim :premises (@p152))
% 45.57/45.86  (step @p154 :rule chain_m_resolution :premises (@p153 @p4) :args (@t117 @t86 @t87))
% 45.57/45.86  (step @p155 :rule bool-double-not-elim :args (@t69))
% 45.57/45.86  (step @p156 :rule nary_cong :premises (@p60 @p155) :args ((or @t73 (not @t70))))
% 45.57/45.86  (step @p157 :rule cnf_or_neg :args (@t73 1))
% 45.57/45.86  (step @p158 :rule eq_resolve :premises (@p157 @p156))
% 45.57/45.86  (step @p159 :rule reordering :premises (@p158) :args ((or @t69 @t73)))
% 45.57/45.86  (step @p160 :rule chain_m_resolution :premises (@p159 @p58) :args (@t69 @t74 @t75))
% 45.57/45.86  (step @p161 :rule true_intro :premises (@p160))
% 45.57/45.86  (step @p162 :rule refl :args (3))
% 45.57/45.86  (step @p163 :rule cong :premises (@p162 @p103) :args (@t113))
% 45.57/45.86  (step @p164 :rule trans :premises (@p163 @p161))
% 45.57/45.86  (step @p165 :rule true_elim :premises (@p164))
% 45.57/45.86  (step @p166 :rule cnf_equiv_pos1 :args (@t117))
% 45.57/45.86  (step @p167 :rule reordering :premises (@p166) :args ((or @t112 (not @t113) (not @t117))))
% 45.57/45.86  (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p154) :args (@t112 @t91 (@list @t113 @t117)))
% 45.57/45.86  (assume-push @p628 @t110)
% 45.57/45.86  (assume-push @p629 @t61)
% 45.57/45.86  (assume-push @p630 @t110)
% 45.57/45.86  (step @p172 :rule evaluate :args (@t118))
% 45.57/45.86  (step @p173 :rule evaluate :args ((+ 3 -4)))
% 45.57/45.86  (step @p174 :rule evaluate :args (@t119))
% 45.57/45.86  (step @p175 :rule nary_cong :premises (@p162 @p174) :args (@t120))
% 45.57/45.86  (step @p176 :rule trans :premises (@p175 @p173))
% 45.57/45.86  (step @p177 :rule arith_poly_norm :args (@t122))
% 45.57/45.86  (step @p178 :rule cong :premises (@p177 @p176) :args ((<= @t121 @t120)))
% 45.57/45.86  (step @p179 :rule trans :premises (@p178 @p172))
% 45.57/45.86  (step @p180 :rule arith_mult_neg :args (-1 @t61))
% 45.57/45.86  (step @p181 :rule evaluate :args (@t123))
% 45.57/45.86  (step @p182 :rule true_elim :premises (@p181))
% 45.57/45.86  (step @p183 :rule and_intro :premises (@p182 @p65))
% 45.57/45.86  (step @p184 :rule modus_ponens :premises (@p183 @p180))
% 45.57/45.86  (step @p185 :rule arith_sum_ub :premises (@p628 @p184))
% 45.57/45.86  (step @p186 false :rule eq_resolve :premises (@p185 @p179))
% 45.57/45.86  (step-pop @p631 :rule scope :premises (@p186))
% 45.57/45.86  (step @p187 :rule process_scope :premises (@p631) :args (false))
% 45.57/45.86  (step @p189 false :rule contra :premises (@p628 @p187))
% 45.57/45.86  (step-pop @p632 :rule scope :premises (@p189))
% 45.57/45.86  (step-pop @p633 :rule scope :premises (@p632))
% 45.57/45.86  (step @p190 :rule process_scope :premises (@p633) :args (false))
% 45.57/45.86  (assume-push @p634 @t61)
% 45.57/45.86  (assume-push @p635 @t110)
% 45.57/45.86  (step @p195 :rule and_intro :premises (@p635 @p65))
% 45.57/45.86  (step-pop @p636 :rule scope :premises (@p195))
% 45.57/45.86  (step-pop @p637 :rule scope :premises (@p636))
% 45.57/45.86  (step @p196 :rule process_scope :premises (@p637) :args (@t124))
% 45.57/45.86  (step @p199 :rule implies_elim :premises (@p196))
% 45.57/45.86  (step @p200 :rule resolution :premises (@p199 @p190) :args (true @t124))
% 45.57/45.86  (step @p201 :rule not_and :premises (@p200))
% 45.57/45.86  (step @p202 :rule chain_m_resolution :premises (@p201 @p65) :args ((not @t110) @t86 (@list @t61)))
% 45.57/45.86  (step @p203 :rule cnf_or_pos :args (@t112))
% 45.57/45.86  (step @p204 :rule reordering :premises (@p203) :args ((or @t111 @t110 (not @t112))))
% 45.57/45.86  (step @p205 :rule chain_m_resolution :premises (@p204 @p202 @p168) :args (@t111 @t125 (@list @t110 @t112)))
% 45.57/45.86  (step @p206 :rule cnf_or_pos :args (@t130))
% 45.57/45.86  (step @p207 :rule reordering :premises (@p206) :args ((or @t129 @t128 (not @t130))))
% 45.57/45.86  (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p138) :args (@t128 @t91 (@list @t111 @t130)))
% 45.57/45.86  (assume-push @p638 @t78)
% 45.57/45.86  (assume-push @p639 @t128)
% 45.57/45.86  (assume-push @p640 @t78)
% 45.57/45.86  (assume-push @p641 @t128)
% 45.57/45.86  (step @p213 :rule true_intro :premises (@p638))
% 45.57/45.86  (step @p214 :rule symm :premises (@p639))
% 45.57/45.86  (step @p215 :rule cong :premises (@p104 @p214) :args (@t131))
% 45.57/45.86  (step @p216 :rule trans :premises (@p215 @p213))
% 45.57/45.86  (step @p217 :rule true_elim :premises (@p216))
% 45.57/45.86  (step-pop @p642 :rule scope :premises (@p217))
% 45.57/45.86  (step-pop @p643 :rule scope :premises (@p642))
% 45.57/45.86  (step @p218 :rule process_scope :premises (@p643) :args (@t131))
% 45.57/45.86  (step @p221 :rule and_intro :premises (@p638 @p639))
% 45.57/45.86  (step @p222 :rule modus_ponens :premises (@p221 @p218))
% 45.57/45.86  (step-pop @p644 :rule scope :premises (@p222))
% 45.57/45.86  (step-pop @p645 :rule scope :premises (@p644))
% 45.57/45.86  (step @p223 :rule process_scope :premises (@p645) :args (@t131))
% 45.57/45.86  (step @p226 :rule implies_elim :premises (@p223))
% 45.57/45.86  (step @p227 :rule cnf_and_neg :args (@t132))
% 45.57/45.86  (step @p228 :rule resolution :premises (@p227 @p226) :args (true @t132))
% 45.57/45.86  (step @p229 :rule refl :args (@t131))
% 45.57/45.86  (step @p230 :rule aci_norm :args ((= (or @t133 false) @t133)))
% 45.57/45.86  (step @p231 :rule evaluate :args (@t134))
% 45.57/45.86  (step @p232 :rule refl :args (@t133))
% 45.57/45.86  (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t135))
% 45.57/45.86  (step @p234 :rule trans :premises (@p233 @p230))
% 45.57/45.86  (step @p235 :rule cong :premises (@p234 @p229) :args (@t136))
% 45.57/45.86  (step @p236 :rule cong :premises (@p74 @p235) :args ((=> @t9 @t136)))
% 45.57/45.86  (assume-push @p646 @t9)
% 45.57/45.86  (step @p238 :rule instantiate :premises (@p4) :args ((@list 2 @t126 3)))
% 45.57/45.86  (step-pop @p647 :rule scope :premises (@p238))
% 45.57/45.86  (step @p239 :rule process_scope :premises (@p647) :args (@t136))
% 45.57/45.86  (step @p241 :rule eq_resolve :premises (@p239 @p236))
% 45.57/45.86  (step @p242 :rule implies_elim :premises (@p241))
% 45.57/45.86  (step @p243 :rule chain_m_resolution :premises (@p242 @p4) :args (@t137 @t86 @t87))
% 45.57/45.86  (step @p244 :rule cnf_equiv_pos2 :args (@t137))
% 45.57/45.86  (step @p245 :rule reordering :premises (@p244) :args ((or @t133 (not @t131) (not @t137))))
% 45.57/45.86  (step @p246 :rule bool-double-not-elim :args (@t67))
% 45.57/45.86  (step @p247 :rule nary_cong :premises (@p60 @p246) :args ((or @t73 (not @t68))))
% 45.57/45.86  (step @p248 :rule cnf_or_neg :args (@t73 2))
% 45.57/45.86  (step @p249 :rule eq_resolve :premises (@p248 @p247))
% 45.57/45.86  (step @p250 :rule reordering :premises (@p249) :args ((or @t67 @t73)))
% 45.57/45.86  (step @p251 :rule chain_m_resolution :premises (@p250 @p58) :args (@t67 @t74 @t75))
% 45.57/45.86  (step @p252 :rule arith_poly_norm :args ((= (* -1 (- @t98 @t140)) (* 1 @t139))))
% 45.57/45.86  (step @p253 :rule arith_poly_norm_rel :premises (@p252) :args ((= @t142 @t141)))
% 45.57/45.86  (step @p254 :rule refl :args (@t63))
% 45.57/45.86  (step @p255 :rule cong :premises (@p254 @p253) :args (@t143))
% 45.57/45.86  (step @p256 :rule cong :premises (@p127 @p255) :args ((=> @t104 @t143)))
% 45.57/45.86  (assume-push @p648 @t104)
% 45.57/45.86  (step @p258 :rule instantiate :premises (@p123) :args (@t88))
% 45.57/45.86  (step-pop @p649 :rule scope :premises (@p258))
% 45.57/45.86  (step @p259 :rule process_scope :premises (@p649) :args (@t143))
% 45.57/45.86  (step @p261 :rule eq_resolve :premises (@p259 @p256))
% 45.57/45.86  (step @p262 :rule implies_elim :premises (@p261))
% 45.57/45.86  (step @p263 :rule chain_m_resolution :premises (@p262 @p123) :args (@t144 @t86 @t107))
% 45.57/45.86  (step @p264 :rule cnf_equiv_pos1 :args (@t144))
% 45.57/45.86  (step @p265 :rule reordering :premises (@p264) :args ((or @t64 @t141 (not @t144))))
% 45.57/45.86  (step @p266 :rule chain_m_resolution :premises (@p265 @p99 @p263) :args (@t141 @t91 (@list @t63 @t144)))
% 45.57/45.86  (step @p267 :rule instantiate :premises (@p6) :args (@t145))
% 45.57/45.86  (step @p268 :rule bool-double-not-elim :args (@t146))
% 45.57/45.86  (step @p269 :rule refl :args (@t148))
% 45.57/45.86  (step @p270 :rule refl :args (@t149))
% 45.57/45.86  (step @p271 :rule refl :args (@t150))
% 45.57/45.86  (step @p272 :rule refl :args (@t68))
% 45.57/45.86  (step @p273 :rule nary_cong :premises (@p272 @p271 @p270 @p269 @p268) :args ((or @t68 @t150 @t149 @t148 (not @t151))))
% 45.57/45.86  (assume-push @p650 @t147)
% 45.57/45.86  (assume-push @p651 @t151)
% 45.57/45.86  (assume-push @p652 @t67)
% 45.57/45.86  (assume-push @p653 @t141)
% 45.57/45.86  (assume-push @p654 @t101)
% 45.57/45.86  (assume-push @p655 @t154)
% 45.57/45.86  (step @p172 :rule evaluate :args (@t118))
% 45.57/45.86  (step @p280 :rule evaluate :args (@t155))
% 45.57/45.86  (step @p281 :rule nary_cong :premises (@p112 @p112 @p104 @p112) :args (@t156))
% 45.57/45.86  (step @p282 :rule trans :premises (@p281 @p280))
% 45.57/45.86  (step @p283 :rule arith_poly_norm :args ((= (+ @t160 @t158 @t66 @t152) 0)))
% 45.57/45.86  (step @p284 :rule refl :args (@t152))
% 45.57/45.86  (step @p285 :rule refl :args (@t66))
% 45.57/45.86  (step @p286 :rule arith_poly_norm :args (@t163))
% 45.57/45.86  (step @p287 :rule arith_poly_norm :args ((= @t164 @t160)))
% 45.57/45.86  (step @p288 :rule nary_cong :premises (@p287 @p286 @p285 @p284) :args (@t165))
% 45.57/45.86  (step @p289 :rule trans :premises (@p288 @p283))
% 45.57/45.86  (step @p290 :rule cong :premises (@p289 @p282) :args ((<= @t165 @t156)))
% 45.57/45.86  (step @p291 :rule trans :premises (@p290 @p172))
% 45.57/45.87  (step @p292 :rule arith_mult_neg :args (-1 (>= @t96 1)))
% 45.57/45.87  (step @p293 :rule arith_trichotomy :premises (@p267 @p651))
% 45.57/45.87  (step @p294 :rule int_tight_lb :premises (@p293))
% 45.57/45.87  (step @p181 :rule evaluate :args (@t123))
% 45.57/45.87  (step @p182 :rule true_elim :premises (@p181))
% 45.57/45.87  (step @p295 :rule and_intro :premises (@p182 @p294))
% 45.57/45.87  (step @p296 :rule modus_ponens :premises (@p295 @p292))
% 45.57/45.87  (step @p297 :rule arith_mult_neg :args (-1 @t166))
% 45.57/45.87  (step @p298 :rule arith_poly_norm :args (@t167))
% 45.57/45.87  (step @p299 :rule arith_poly_norm_rel :premises (@p298) :args (@t168))
% 45.57/45.87  (step @p300 :rule symm :premises (@p299))
% 45.57/45.87  (step @p301 :rule eq_resolve :premises (@p266 @p300))
% 45.57/45.87  (step @p302 :rule and_intro :premises (@p182 @p301))
% 45.57/45.87  (step @p303 :rule modus_ponens :premises (@p302 @p297))
% 45.57/45.87  (step @p304 :rule arith_mult_neg :args (-1 @t154))
% 45.57/45.87  (step @p305 :rule and_intro :premises (@p182 @p655))
% 45.57/45.87  (step @p306 :rule modus_ponens :premises (@p305 @p304))
% 45.57/45.87  (step @p307 :rule arith_sum_ub :premises (@p306 @p303 @p251 @p296))
% 45.57/45.87  (step @p308 false :rule eq_resolve :premises (@p307 @p291))
% 45.57/45.87  (step-pop @p656 :rule scope :premises (@p308))
% 45.57/45.87  (step @p309 :rule process_scope :premises (@p656) :args (false))
% 45.57/45.87  (step @p311 :rule arith_poly_norm :args ((= (* -1 (- @t153 1)) (* -1 @t99))))
% 45.57/45.87  (step @p312 :rule arith_poly_norm_rel :premises (@p311) :args ((= @t154 @t101)))
% 45.57/45.87  (step @p313 :rule symm :premises (@p312))
% 45.57/45.87  (step @p314 :rule eq_resolve :premises (@p654 @p313))
% 45.57/45.87  (step @p315 false :rule contra :premises (@p314 @p309))
% 45.57/45.87  (step-pop @p657 :rule scope :premises (@p315))
% 45.57/45.87  (step-pop @p658 :rule scope :premises (@p657))
% 45.57/45.87  (step-pop @p659 :rule scope :premises (@p658))
% 45.57/45.87  (step-pop @p660 :rule scope :premises (@p659))
% 45.57/45.87  (step-pop @p661 :rule scope :premises (@p660))
% 45.57/45.87  (step @p316 :rule process_scope :premises (@p661) :args (false))
% 45.57/45.87  (assume-push @p662 @t67)
% 45.57/45.87  (assume-push @p663 @t141)
% 45.57/45.87  (assume-push @p664 @t101)
% 45.57/45.87  (assume-push @p665 @t147)
% 45.57/45.87  (assume-push @p666 @t151)
% 45.57/45.87  (step @p327 :rule and_intro :premises (@p267 @p666 @p251 @p266 @p664))
% 45.57/45.87  (step-pop @p667 :rule scope :premises (@p327))
% 45.57/45.87  (step-pop @p668 :rule scope :premises (@p667))
% 45.57/45.87  (step-pop @p669 :rule scope :premises (@p668))
% 45.57/45.87  (step-pop @p670 :rule scope :premises (@p669))
% 45.57/45.87  (step-pop @p671 :rule scope :premises (@p670))
% 45.57/45.87  (step @p328 :rule process_scope :premises (@p671) :args (@t169))
% 45.57/45.87  (step @p334 :rule implies_elim :premises (@p328))
% 45.57/45.87  (step @p335 :rule resolution :premises (@p334 @p316) :args (true @t169))
% 45.57/45.87  (step @p336 :rule not_and :premises (@p335))
% 45.57/45.87  (step @p337 :rule eq_resolve :premises (@p336 @p273))
% 45.57/45.87  (step @p338 :rule reordering :premises (@p337) :args ((or @t68 @t150 @t149 @t146 @t148)))
% 45.57/45.87  (step @p339 :rule eq-symm :args ((= tptp.empty @t14) @t15))
% 45.57/45.87  (step @p340 :rule refl :args (@t15))
% 45.57/45.87  (step @p341 :rule eq-symm :args (@t14 tptp.empty))
% 45.57/45.87  (step @p342 :rule cong :premises (@p341 @p340) :args (@t16))
% 45.57/45.87  (step @p343 :rule trans :premises (@p342 @p339))
% 45.57/45.87  (step @p344 :rule cong :premises (@p343) :args (@t17))
% 45.57/45.87  (step @p345 :rule eq_resolve :premises (@p7 @p344))
% 45.57/45.87  (step @p346 :rule instantiate :premises (@p345) :args (@t145))
% 45.57/45.87  (step @p347 :rule cnf_equiv_pos1 :args (@t171))
% 45.57/45.87  (step @p348 :rule reordering :premises (@p347) :args ((or @t170 @t151 (not @t171))))
% 45.57/45.87  (step @p349 :rule instantiate :premises (@p3) :args (@t105))
% 45.57/45.87  (step @p350 :rule instantiate :premises (@p345) :args (@t174))
% 45.57/45.87  (step @p351 :rule instantiate :premises (@p6) :args (@t174))
% 45.57/45.87  (step @p352 :rule arith_poly_norm :args ((= (* -1 (- @t175 @t179)) (* 1 @t178))))
% 45.57/45.87  (step @p353 :rule arith_poly_norm_rel :premises (@p352) :args ((= @t181 @t180)))
% 45.57/45.87  (step @p354 :rule refl :args (@t182))
% 45.57/45.87  (step @p355 :rule cong :premises (@p354 @p353) :args (@t183))
% 45.57/45.87  (step @p356 :rule cong :premises (@p127 @p355) :args ((=> @t104 @t183)))
% 45.57/45.87  (assume-push @p672 @t104)
% 45.57/45.87  (step @p358 :rule instantiate :premises (@p123) :args ((@list @t60 @t172)))
% 45.57/45.87  (step-pop @p673 :rule scope :premises (@p358))
% 45.57/45.87  (step @p359 :rule process_scope :premises (@p673) :args (@t183))
% 45.57/45.87  (step @p361 :rule eq_resolve :premises (@p359 @p356))
% 45.57/45.87  (step @p362 :rule implies_elim :premises (@p361))
% 45.57/45.87  (step @p363 :rule chain_m_resolution :premises (@p362 @p123) :args (@t184 @t86 @t107))
% 45.57/45.87  (step @p364 :rule instantiate :premises (@p4) :args ((@list @t60 @t172 3)))
% 45.57/45.87  (step @p365 :rule true_intro :premises (@p99))
% 45.57/45.87  (step @p366 :rule instantiate :premises (@p92) :args (@t185))
% 45.57/45.87  (step @p367 :rule cnf_or_pos :args (@t188))
% 45.57/45.87  (step @p368 :rule reordering :premises (@p367) :args ((or @t70 @t187 (not @t188))))
% 45.57/45.87  (step @p369 :rule chain_m_resolution :premises (@p368 @p160 @p366) :args (@t187 @t91 (@list @t69 @t188)))
% 45.57/45.87  (step @p370 :rule symm :premises (@p369))
% 45.57/45.87  (step @p371 :rule refl :args (@t60))
% 45.57/45.87  (step @p372 :rule cong :premises (@p371 @p370) :args (@t189))
% 45.57/45.87  (step @p373 :rule trans :premises (@p372 @p365))
% 45.57/45.87  (step @p374 :rule true_elim :premises (@p373))
% 45.57/45.87  (step @p375 :rule cnf_equiv_pos2 :args (@t191))
% 45.57/45.87  (step @p376 :rule reordering :premises (@p375) :args ((or @t190 (not @t189) (not @t191))))
% 45.57/45.87  (step @p377 :rule chain_m_resolution :premises (@p376 @p374 @p364) :args (@t190 @t91 (@list @t189 @t191)))
% 45.57/45.87  (step @p378 :rule cnf_or_pos :args (@t190))
% 45.57/45.87  (step @p379 :rule reordering :premises (@p378) :args ((or @t110 @t182 (not @t190))))
% 45.57/45.87  (step @p380 :rule chain_m_resolution :premises (@p379 @p202 @p377) :args (@t182 @t125 (@list @t110 @t190)))
% 45.57/45.87  (step @p381 :rule cnf_equiv_pos1 :args (@t184))
% 45.57/45.87  (step @p382 :rule reordering :premises (@p381) :args ((or (not @t182) @t180 (not @t184))))
% 45.57/45.87  (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p363) :args (@t180 @t91 (@list @t182 @t184)))
% 45.57/45.87  (step @p384 :rule arith_poly_norm :args ((= (* -1 (- @t177 @t140)) (* 1 @t193))))
% 45.57/45.87  (step @p385 :rule arith_poly_norm_rel :premises (@p384) :args ((= @t195 @t194)))
% 45.57/45.87  (step @p386 :rule refl :args (@t69))
% 45.57/45.87  (step @p387 :rule cong :premises (@p386 @p385) :args (@t196))
% 45.57/45.87  (step @p388 :rule cong :premises (@p127 @p387) :args ((=> @t104 @t196)))
% 45.57/45.87  (assume-push @p674 @t104)
% 45.57/45.87  (step @p390 :rule instantiate :premises (@p123) :args (@t185))
% 45.57/45.87  (step-pop @p675 :rule scope :premises (@p390))
% 45.57/45.87  (step @p391 :rule process_scope :premises (@p675) :args (@t196))
% 45.57/45.87  (step @p393 :rule eq_resolve :premises (@p391 @p388))
% 45.57/45.87  (step @p394 :rule implies_elim :premises (@p393))
% 45.57/45.87  (step @p395 :rule chain_m_resolution :premises (@p394 @p123) :args (@t197 @t86 @t107))
% 45.57/45.87  (step @p396 :rule cnf_equiv_pos1 :args (@t197))
% 45.57/45.87  (step @p397 :rule reordering :premises (@p396) :args ((or @t70 @t194 (not @t197))))
% 45.57/45.87  (step @p398 :rule chain_m_resolution :premises (@p397 @p160 @p395) :args (@t194 @t91 (@list @t69 @t197)))
% 45.57/45.87  (step @p399 :rule bool-double-not-elim :args (@t198))
% 45.57/45.87  (step @p400 :rule refl :args (@t200))
% 45.57/45.87  (step @p401 :rule refl :args (@t201))
% 45.57/45.87  (step @p402 :rule refl :args (@t202))
% 45.57/45.87  (step @p403 :rule nary_cong :premises (@p272 @p402 @p401 @p400 @p399) :args ((or @t68 @t202 @t201 @t200 (not @t203))))
% 45.57/45.87  (assume-push @p676 @t199)
% 45.57/45.87  (assume-push @p677 @t203)
% 45.57/45.87  (assume-push @p678 @t67)
% 45.57/45.87  (assume-push @p679 @t194)
% 45.57/45.87  (assume-push @p680 @t180)
% 45.57/45.87  (assume-push @p681 @t206)
% 45.57/45.87  (step @p172 :rule evaluate :args (@t118))
% 45.57/45.87  (step @p280 :rule evaluate :args (@t155))
% 45.57/45.87  (step @p281 :rule nary_cong :premises (@p112 @p112 @p104 @p112) :args (@t156))
% 45.57/45.87  (step @p282 :rule trans :premises (@p281 @p280))
% 45.57/45.87  (step @p410 :rule arith_poly_norm :args ((= (+ @t209 @t207 @t66 @t204) 0)))
% 45.57/45.87  (step @p411 :rule refl :args (@t204))
% 45.57/45.87  (step @p285 :rule refl :args (@t66))
% 45.57/45.87  (step @p412 :rule arith_poly_norm :args ((= @t211 @t207)))
% 45.57/45.87  (step @p413 :rule arith_poly_norm :args ((= @t212 @t209)))
% 45.57/45.87  (step @p414 :rule nary_cong :premises (@p413 @p412 @p285 @p411) :args (@t213))
% 45.57/45.87  (step @p415 :rule trans :premises (@p414 @p410))
% 45.57/45.87  (step @p416 :rule cong :premises (@p415 @p282) :args ((<= @t213 @t156)))
% 45.57/45.87  (step @p417 :rule trans :premises (@p416 @p172))
% 45.57/45.87  (step @p418 :rule arith_mult_neg :args (-1 (>= @t175 1)))
% 45.57/45.87  (step @p419 :rule arith_trichotomy :premises (@p351 @p677))
% 45.57/45.87  (step @p420 :rule int_tight_lb :premises (@p419))
% 45.57/45.87  (step @p181 :rule evaluate :args (@t123))
% 45.57/45.87  (step @p182 :rule true_elim :premises (@p181))
% 45.57/45.87  (step @p421 :rule and_intro :premises (@p182 @p420))
% 45.57/45.87  (step @p422 :rule modus_ponens :premises (@p421 @p418))
% 45.57/45.87  (step @p423 :rule arith_mult_neg :args (-1 @t214))
% 45.57/45.87  (step @p424 :rule arith_poly_norm :args ((= (* -1 (- @t210 1)) (* -1 @t193))))
% 45.57/45.87  (step @p425 :rule arith_poly_norm_rel :premises (@p424) :args ((= @t214 @t194)))
% 45.57/45.87  (step @p426 :rule symm :premises (@p425))
% 45.57/45.87  (step @p427 :rule eq_resolve :premises (@p398 @p426))
% 45.57/45.87  (step @p428 :rule and_intro :premises (@p182 @p427))
% 45.57/45.87  (step @p429 :rule modus_ponens :premises (@p428 @p423))
% 45.57/45.87  (step @p430 :rule arith_mult_neg :args (-1 @t206))
% 45.57/45.87  (step @p431 :rule and_intro :premises (@p182 @p681))
% 45.57/45.87  (step @p432 :rule modus_ponens :premises (@p431 @p430))
% 45.57/45.87  (step @p433 :rule arith_sum_ub :premises (@p432 @p429 @p251 @p422))
% 45.57/45.87  (step @p434 false :rule eq_resolve :premises (@p433 @p417))
% 45.57/45.87  (step-pop @p682 :rule scope :premises (@p434))
% 45.57/45.87  (step @p435 :rule process_scope :premises (@p682) :args (false))
% 45.57/45.87  (step @p437 :rule arith_poly_norm :args ((= (* -1 (- @t205 1)) (* -1 @t178))))
% 45.57/45.87  (step @p438 :rule arith_poly_norm_rel :premises (@p437) :args ((= @t206 @t180)))
% 45.57/45.87  (step @p439 :rule symm :premises (@p438))
% 45.57/45.87  (step @p440 :rule eq_resolve :premises (@p680 @p439))
% 45.57/45.87  (step @p441 false :rule contra :premises (@p440 @p435))
% 45.57/45.87  (step-pop @p683 :rule scope :premises (@p441))
% 45.57/45.87  (step-pop @p684 :rule scope :premises (@p683))
% 45.57/45.87  (step-pop @p685 :rule scope :premises (@p684))
% 45.57/45.87  (step-pop @p686 :rule scope :premises (@p685))
% 45.57/45.87  (step-pop @p687 :rule scope :premises (@p686))
% 45.57/45.87  (step @p442 :rule process_scope :premises (@p687) :args (false))
% 45.57/45.87  (assume-push @p688 @t67)
% 45.57/45.87  (assume-push @p689 @t194)
% 45.57/45.87  (assume-push @p690 @t180)
% 45.57/45.87  (assume-push @p691 @t199)
% 45.57/45.87  (assume-push @p692 @t203)
% 45.57/45.87  (step @p453 :rule and_intro :premises (@p351 @p692 @p251 @p398 @p690))
% 45.57/45.87  (step-pop @p693 :rule scope :premises (@p453))
% 45.57/45.87  (step-pop @p694 :rule scope :premises (@p693))
% 45.57/45.87  (step-pop @p695 :rule scope :premises (@p694))
% 45.57/45.87  (step-pop @p696 :rule scope :premises (@p695))
% 45.57/45.87  (step-pop @p697 :rule scope :premises (@p696))
% 45.57/45.87  (step @p454 :rule process_scope :premises (@p697) :args (@t215))
% 45.57/45.87  (step @p460 :rule implies_elim :premises (@p454))
% 45.57/45.87  (step @p461 :rule resolution :premises (@p460 @p442) :args (true @t215))
% 45.57/45.87  (step @p462 :rule not_and :premises (@p461))
% 45.57/45.87  (step @p463 :rule eq_resolve :premises (@p462 @p403))
% 45.57/45.87  (step @p464 :rule reordering :premises (@p463) :args ((or @t68 @t202 @t201 @t198 @t200)))
% 45.57/45.87  (step @p465 :rule chain_m_resolution :premises (@p464 @p251 @p398 @p383 @p351) :args (@t198 @t216 (@list @t67 @t194 @t180 @t199)))
% 45.57/45.87  (step @p466 :rule cnf_equiv_pos1 :args (@t218))
% 45.57/45.87  (step @p467 :rule reordering :premises (@p466) :args ((or @t217 @t203 (not @t218))))
% 45.57/45.87  (step @p468 :rule chain_m_resolution :premises (@p467 @p465 @p350) :args (@t217 @t91 (@list @t198 @t218)))
% 45.57/45.87  (step @p469 :rule instantiate :premises (@p345) :args (@t219))
% 45.57/45.87  (step @p470 :rule instantiate :premises (@p6) :args (@t219))
% 45.57/45.87  (step @p471 :rule arith_poly_norm :args ((= (* -1 (- @t220 @t100)) (* 1 @t222))))
% 45.57/45.87  (step @p472 :rule arith_poly_norm_rel :premises (@p471) :args ((= @t224 @t223)))
% 45.57/45.87  (step @p473 :rule cong :premises (@p143 @p472) :args (@t225))
% 45.57/45.87  (step @p474 :rule cong :premises (@p127 @p473) :args ((=> @t104 @t225)))
% 45.57/45.87  (assume-push @p698 @t104)
% 45.57/45.87  (step @p476 :rule instantiate :premises (@p123) :args (@t109))
% 45.57/45.87  (step-pop @p699 :rule scope :premises (@p476))
% 45.57/45.87  (step @p477 :rule process_scope :premises (@p699) :args (@t225))
% 45.57/45.87  (step @p479 :rule eq_resolve :premises (@p477 @p474))
% 45.57/45.87  (step @p480 :rule implies_elim :premises (@p479))
% 45.57/45.87  (step @p481 :rule chain_m_resolution :premises (@p480 @p123) :args (@t226 @t86 @t107))
% 45.57/45.87  (step @p482 :rule cnf_equiv_pos1 :args (@t226))
% 45.57/45.87  (step @p483 :rule reordering :premises (@p482) :args ((or @t129 @t223 (not @t226))))
% 45.57/45.87  (step @p484 :rule chain_m_resolution :premises (@p483 @p205 @p481) :args (@t223 @t91 (@list @t111 @t226)))
% 45.57/45.87  (step @p485 :rule bool-double-not-elim :args (@t227))
% 45.57/45.87  (step @p486 :rule refl :args (@t229))
% 45.57/45.87  (step @p487 :rule refl :args (@t230))
% 45.57/45.87  (step @p488 :rule nary_cong :premises (@p272 @p271 @p487 @p486 @p485) :args ((or @t68 @t150 @t230 @t229 (not @t231))))
% 45.57/45.87  (assume-push @p700 @t228)
% 45.57/45.87  (assume-push @p701 @t231)
% 45.57/45.87  (assume-push @p702 @t67)
% 45.57/45.87  (assume-push @p703 @t141)
% 45.57/45.87  (assume-push @p704 @t223)
% 45.57/45.87  (assume-push @p705 @t234)
% 45.57/45.87  (step @p172 :rule evaluate :args (@t118))
% 45.57/45.87  (step @p280 :rule evaluate :args (@t155))
% 45.57/45.87  (step @p281 :rule nary_cong :premises (@p112 @p112 @p104 @p112) :args (@t156))
% 45.57/45.87  (step @p282 :rule trans :premises (@p281 @p280))
% 45.57/45.87  (step @p495 :rule arith_poly_norm :args ((= (+ @t235 @t158 @t66 @t232) 0)))
% 45.57/45.87  (step @p496 :rule refl :args (@t232))
% 45.57/45.87  (step @p285 :rule refl :args (@t66))
% 45.57/45.87  (step @p286 :rule arith_poly_norm :args (@t163))
% 45.57/45.87  (step @p497 :rule arith_poly_norm :args ((= @t236 @t235)))
% 45.57/45.87  (step @p498 :rule nary_cong :premises (@p497 @p286 @p285 @p496) :args (@t237))
% 45.57/45.87  (step @p499 :rule trans :premises (@p498 @p495))
% 45.57/45.87  (step @p500 :rule cong :premises (@p499 @p282) :args ((<= @t237 @t156)))
% 45.57/45.87  (step @p501 :rule trans :premises (@p500 @p172))
% 45.57/45.87  (step @p502 :rule arith_mult_neg :args (-1 (>= @t220 1)))
% 45.57/45.87  (step @p503 :rule arith_trichotomy :premises (@p470 @p701))
% 45.57/45.87  (step @p504 :rule int_tight_lb :premises (@p503))
% 45.57/45.87  (step @p181 :rule evaluate :args (@t123))
% 45.57/45.87  (step @p182 :rule true_elim :premises (@p181))
% 45.57/45.87  (step @p505 :rule and_intro :premises (@p182 @p504))
% 45.57/45.87  (step @p506 :rule modus_ponens :premises (@p505 @p502))
% 45.57/45.87  (step @p297 :rule arith_mult_neg :args (-1 @t166))
% 45.57/45.87  (step @p298 :rule arith_poly_norm :args (@t167))
% 45.57/45.87  (step @p299 :rule arith_poly_norm_rel :premises (@p298) :args (@t168))
% 45.57/45.87  (step @p300 :rule symm :premises (@p299))
% 45.57/45.87  (step @p301 :rule eq_resolve :premises (@p266 @p300))
% 45.57/45.87  (step @p302 :rule and_intro :premises (@p182 @p301))
% 45.57/45.87  (step @p303 :rule modus_ponens :premises (@p302 @p297))
% 45.57/45.87  (step @p507 :rule arith_mult_neg :args (-1 @t234))
% 45.57/45.87  (step @p508 :rule and_intro :premises (@p182 @p705))
% 45.57/45.87  (step @p509 :rule modus_ponens :premises (@p508 @p507))
% 45.57/45.87  (step @p510 :rule arith_sum_ub :premises (@p509 @p303 @p251 @p506))
% 45.57/45.87  (step @p511 false :rule eq_resolve :premises (@p510 @p501))
% 45.57/45.87  (step-pop @p706 :rule scope :premises (@p511))
% 45.57/45.87  (step @p512 :rule process_scope :premises (@p706) :args (false))
% 45.57/45.87  (step @p514 :rule arith_poly_norm :args ((= (* -1 (- @t233 1)) (* -1 @t222))))
% 45.57/45.87  (step @p515 :rule arith_poly_norm_rel :premises (@p514) :args ((= @t234 @t223)))
% 45.57/45.87  (step @p516 :rule symm :premises (@p515))
% 45.57/45.87  (step @p517 :rule eq_resolve :premises (@p704 @p516))
% 45.57/45.87  (step @p518 false :rule contra :premises (@p517 @p512))
% 45.57/45.87  (step-pop @p707 :rule scope :premises (@p518))
% 45.57/45.87  (step-pop @p708 :rule scope :premises (@p707))
% 45.57/45.87  (step-pop @p709 :rule scope :premises (@p708))
% 45.57/45.87  (step-pop @p710 :rule scope :premises (@p709))
% 45.57/45.87  (step-pop @p711 :rule scope :premises (@p710))
% 45.57/45.87  (step @p519 :rule process_scope :premises (@p711) :args (false))
% 45.57/45.87  (assume-push @p712 @t67)
% 45.57/45.87  (assume-push @p713 @t141)
% 45.57/45.87  (assume-push @p714 @t223)
% 45.57/45.87  (assume-push @p715 @t228)
% 45.57/45.87  (assume-push @p716 @t231)
% 45.57/45.87  (step @p530 :rule and_intro :premises (@p470 @p716 @p251 @p266 @p714))
% 45.57/45.87  (step-pop @p717 :rule scope :premises (@p530))
% 45.57/45.87  (step-pop @p718 :rule scope :premises (@p717))
% 45.57/45.87  (step-pop @p719 :rule scope :premises (@p718))
% 45.57/45.87  (step-pop @p720 :rule scope :premises (@p719))
% 45.57/45.87  (step-pop @p721 :rule scope :premises (@p720))
% 45.57/45.87  (step @p531 :rule process_scope :premises (@p721) :args (@t238))
% 45.57/45.87  (step @p537 :rule implies_elim :premises (@p531))
% 45.57/45.87  (step @p538 :rule resolution :premises (@p537 @p519) :args (true @t238))
% 45.57/45.87  (step @p539 :rule not_and :premises (@p538))
% 45.57/45.87  (step @p540 :rule eq_resolve :premises (@p539 @p488))
% 45.57/45.87  (step @p541 :rule reordering :premises (@p540) :args ((or @t68 @t150 @t230 @t227 @t229)))
% 45.57/45.87  (step @p542 :rule chain_m_resolution :premises (@p541 @p251 @p266 @p484 @p470) :args (@t227 @t216 (@list @t67 @t141 @t223 @t228)))
% 45.57/45.87  (step @p543 :rule cnf_equiv_pos1 :args (@t240))
% 45.57/45.87  (step @p544 :rule reordering :premises (@p543) :args ((or @t239 @t231 (not @t240))))
% 45.57/45.87  (step @p545 :rule chain_m_resolution :premises (@p544 @p542 @p469) :args (@t239 @t91 (@list @t227 @t240)))
% 45.57/45.87  (step @p546 :rule refl :args (@t241))
% 45.57/45.87  (step @p547 :rule refl :args (@t242))
% 45.57/45.87  (step @p548 :rule refl :args (@t243))
% 45.57/45.87  (step @p549 :rule refl :args (@t244))
% 45.57/45.87  (step @p550 :rule bool-double-not-elim :args (@t245))
% 45.57/45.87  (step @p551 :rule nary_cong :premises (@p550 @p549 @p548 @p547 @p546) :args ((or (not @t246) @t244 @t243 @t242 @t241)))
% 45.57/45.87  (assume-push @p722 @t133)
% 45.57/45.87  (assume-push @p723 @t239)
% 45.57/45.87  (assume-push @p724 @t217)
% 45.57/45.87  (assume-push @p725 @t170)
% 45.57/45.87  (assume-push @p726 @t246)
% 45.57/45.87  (step @p557 :rule evaluate :args ((= false true)))
% 45.57/45.87  (step @p558 :rule true_intro :premises (@p722))
% 45.57/45.87  (step @p559 :rule symm :premises (@p724))
% 45.57/45.87  (step @p560 :rule trans :premises (@p559 @p723))
% 45.57/45.87  (step @p561 :rule cong :premises (@p104 @p560) :args ((tptp.in 2 @t173)))
% 45.57/45.87  (step @p562 :rule symm :premises (@p725))
% 45.57/45.87  (step @p563 :rule trans :premises (@p562 @p724))
% 45.57/45.87  (step @p564 :rule cong :premises (@p104 @p563) :args (@t245))
% 45.57/45.87  (step @p565 :rule false_intro :premises (@p349))
% 45.57/45.87  (step @p566 :rule symm :premises (@p565))
% 45.57/45.87  (step @p567 :rule trans :premises (@p566 @p564 @p561 @p558))
% 45.57/45.87  (step @p568 false :rule eq_resolve :premises (@p567 @p557))
% 45.57/45.87  (step-pop @p727 :rule scope :premises (@p568))
% 45.57/45.87  (step-pop @p728 :rule scope :premises (@p727))
% 45.57/45.87  (step-pop @p729 :rule scope :premises (@p728))
% 45.57/45.87  (step-pop @p730 :rule scope :premises (@p729))
% 45.57/45.87  (step-pop @p731 :rule scope :premises (@p730))
% 45.57/45.87  (step @p569 :rule process_scope :premises (@p731) :args (false))
% 45.57/45.87  (assume-push @p732 @t246)
% 45.57/45.87  (assume-push @p733 @t133)
% 45.57/45.87  (assume-push @p734 @t170)
% 45.57/45.87  (assume-push @p735 @t239)
% 45.57/45.87  (assume-push @p736 @t217)
% 45.57/45.87  (step @p580 :rule and_intro :premises (@p733 @p735 @p736 @p734 @p349))
% 45.57/45.87  (step-pop @p737 :rule scope :premises (@p580))
% 45.57/45.87  (step-pop @p738 :rule scope :premises (@p737))
% 45.57/45.87  (step-pop @p739 :rule scope :premises (@p738))
% 45.57/45.87  (step-pop @p740 :rule scope :premises (@p739))
% 45.57/45.87  (step-pop @p741 :rule scope :premises (@p740))
% 45.57/45.87  (step @p581 :rule process_scope :premises (@p741) :args (@t247))
% 45.57/45.87  (step @p587 :rule implies_elim :premises (@p581))
% 45.57/45.87  (step @p588 :rule resolution :premises (@p587 @p569) :args (true @t247))
% 45.57/45.87  (step @p589 :rule not_and :premises (@p588))
% 45.57/45.87  (step @p590 :rule eq_resolve :premises (@p589 @p551))
% 45.57/45.87  (step @p591 :rule chain_m_resolution :premises (@p590 @p545 @p468 @p349 @p348 @p346 @p338 @p267 @p266 @p251 @p245 @p243 @p228 @p208 @p137 @p135) :args (@t108 (@list false false true false false false false false false false false false false false false) (@list @t239 @t217 @t245 @t170 @t171 @t146 @t147 @t141 @t67 @t133 @t137 @t131 @t128 @t101 @t106)))
% 45.57/45.87  (step @p592 :rule cnf_or_pos :args (@t79))
% 45.57/45.87  (step @p593 :rule reordering :premises (@p592) :args ((or @t78 @t76 (not @t79))))
% 45.57/45.87  (step @p594 :rule chain_m_resolution :premises (@p593 @p591 @p110) :args (@t76 @t125 (@list @t78 @t79)))
% 45.57/45.87  (assume-push @p742 @t76)
% 45.57/45.87  (assume-push @p743 @t61)
% 45.57/45.87  (assume-push @p744 @t76)
% 45.57/45.87  (step @p598 :rule evaluate :args ((<= 0 -2)))
% 45.57/45.87  (step @p599 :rule evaluate :args ((+ 2 -4)))
% 45.57/45.87  (step @p174 :rule evaluate :args (@t119))
% 45.57/45.87  (step @p600 :rule nary_cong :premises (@p104 @p174) :args (@t248))
% 45.57/45.87  (step @p601 :rule trans :premises (@p600 @p599))
% 45.57/45.87  (step @p177 :rule arith_poly_norm :args (@t122))
% 45.57/45.87  (step @p602 :rule cong :premises (@p177 @p601) :args ((<= @t121 @t248)))
% 45.57/45.87  (step @p603 :rule trans :premises (@p602 @p598))
% 45.57/45.87  (step @p180 :rule arith_mult_neg :args (-1 @t61))
% 45.57/45.87  (step @p181 :rule evaluate :args (@t123))
% 45.57/45.87  (step @p182 :rule true_elim :premises (@p181))
% 45.57/45.87  (step @p183 :rule and_intro :premises (@p182 @p65))
% 45.57/45.87  (step @p184 :rule modus_ponens :premises (@p183 @p180))
% 45.57/45.87  (step @p604 :rule arith_sum_ub :premises (@p742 @p184))
% 45.57/45.87  (step @p605 false :rule eq_resolve :premises (@p604 @p603))
% 45.57/45.87  (step-pop @p745 :rule scope :premises (@p605))
% 45.57/45.87  (step @p606 :rule process_scope :premises (@p745) :args (false))
% 45.57/45.87  (step @p608 false :rule contra :premises (@p742 @p606))
% 45.57/45.87  (step-pop @p746 :rule scope :premises (@p608))
% 45.57/45.87  (step-pop @p747 :rule scope :premises (@p746))
% 45.57/45.87  (step @p609 :rule process_scope :premises (@p747) :args (false))
% 45.57/45.87  (assume-push @p748 @t61)
% 45.57/45.87  (assume-push @p749 @t76)
% 45.57/45.87  (step @p614 :rule and_intro :premises (@p749 @p65))
% 45.57/45.87  (step-pop @p750 :rule scope :premises (@p614))
% 45.57/45.87  (step-pop @p751 :rule scope :premises (@p750))
% 45.57/45.87  (step @p615 :rule process_scope :premises (@p751) :args (@t249))
% 45.57/45.87  (step @p618 :rule implies_elim :premises (@p615))
% 45.57/45.87  (step @p619 :rule resolution :premises (@p618 @p609) :args (true @t249))
% 45.57/45.87  (step @p620 :rule not_and :premises (@p619))
% 45.57/45.87  (step @p621 false :rule chain_m_resolution :premises (@p620 @p594 @p65) :args (false @t91 (@list @t76 @t61)))
% 45.57/45.87  )
% 45.57/45.87  % SZS output end Proof
% 45.57/45.87  % cvc5 exiting
%------------------------------------------------------------------------------